The Descent Set and Connectivity Set of a Permutation
| dc.creator | Stanley, Richard P. | |
| dc.date | 2005-07-11 | |
| dc.date.accessioned | 2026-07-07T05:21:36Z | |
| dc.date.available | 2026-07-07T05:21:36Z | |
| dc.description | The descent set D(w) of a permutation w of 1,2,...,n is a standard and well-studied statistic. We introduce a new statistic, the connectivity set C(w), and show that it is a kind of dual object to D(w). The duality is stated in terms of the inverse of a matrix that records the joint distribution of D(w) and C(w). We also give a variation involving permutations of a multiset and a q-analogue that keeps track of the number of inversions of w. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507224 | |
| dc.identifier | http://arxiv.org/abs/math/0507224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75748 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A05 | |
| dc.title | The Descent Set and Connectivity Set of a Permutation | |
| dc.type | text |